# 4 Men and 6 Women Can Complete a Work in 8 Days, While 3 Men and 7 Women Can Complete It in 10 Days. in How Many Days, Will 10 Women Complete It? - Mathematics

MCQ

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days, will 10 women complete it?

• 35 days

• 40 days

• 45 days

• 50 days

#### Solution

40 days

Explanation:

Let 1 man's 1 day's work = x

And 1 woman's 1 day's work = y

Then, 4x + 6y = 1/8 and 3x + 7y = 1/10

On solving these two equations, we get

x = 11/400 and y = 1/400

∴ 1 woman's 1 day's work = 1/400

⇒ 10 women's 1 day's work = (1/400 xx 10) = 1/40

Hence, 10 women will complete the work in 40 days.

Concept: Time and Work (Entrance Exam)
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